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Measurement outcomes determined probabilistically from "summary" of The Principles of Quantum Mechanics by P. A. M. Dirac

The measurement outcomes in quantum mechanics are not predetermined, as in classical physics, but are determined probabilistically. This means that we cannot predict with certainty the outcome of a measurement, but only the probability of obtaining a particular result. This concept challenges the deterministic view of the universe that prevailed in classical physics. When a measurement is made on a quantum system, the outcome is not uniquely determined by the state of the system. Instead, the state of the system evolves according to the laws of quantum mechanics, and the measurement outcome is determined by a probability distribution associated with the system's state. This probabilistic nature of quantum measurements is a fundamental feature of the theory. The probabilistic nature of quantum measurements has profound implications for our understanding of physical reality. It implies that at the most fundamental level, the universe is inherently uncertain and unpredictable. This uncertainty is not due to our lack of knowledge or technology, but is a fundamental property of the quantum world.
  1. But a fundamental feature of the theory. It reflects the inherent uncertainty and unpredictability of the quantum world. This challenges our classical intuitions about the nature of reality and forces us to rethink our understanding of the universe. Ultimately, it reveals the deep connections between probability, uncertainty, and the nature of physical reality.
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The Principles of Quantum Mechanics

P. A. M. Dirac

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